Each shelf of a bookcase contained 12 books. If the librarian took out : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 22 Jan 2017, 23:25

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Each shelf of a bookcase contained 12 books. If the librarian took out

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Intern
Joined: 09 Dec 2008
Posts: 28
Location: Vietnam
Schools: Somewhere
Followers: 0

Kudos [?]: 62 [0], given: 2

Each shelf of a bookcase contained 12 books. If the librarian took out [#permalink]

### Show Tags

04 Aug 2010, 19:31
00:00

Difficulty:

(N/A)

Question Stats:

80% (02:38) correct 20% (00:00) wrong based on 5 sessions

### HideShow timer Statistics

Each shelf of a bookcase contained 12 books. If the librarian took out 21 books and rearranged the remaining books so that all shelves but one contained 8 books and the last shelf contained 11 books, how many shelves does the bookcase have?

* 5
* 6
* 7
* 8
* 9

(C) 2008 GMAT Club - m09#13

Gmatclub manager,
Should the question be "the librarian took out 21 books and rearranged the remaining books so that each shelf contained 8 books and the last shelf contained 11 books"?

Thanks !
[Reveal] Spoiler: OA
Manager
Joined: 20 Mar 2010
Posts: 84
Followers: 2

Kudos [?]: 88 [0], given: 1

Re: Each shelf of a bookcase contained 12 books. If the librarian took out [#permalink]

### Show Tags

04 Aug 2010, 19:48
dungtd wrote:
Each shelf of a bookcase contained 12 books. If the librarian took out 21 books and rearranged the remaining books so that all shelves but one contained 8 books and the last shelf contained 11 books, how many shelves does the bookcase have?

(C) 2008 GMAT Club - m09#13

* 5
* 6
* 7
* 8
* 9

Gmatclub manager,
Should the question be "the librarian took out 21 books and rearranged the remaining books so that each shelf contained 8 books and the last shelf contained 11 books"?

Thanks !
.

The wording in the question is correct . If the "but one" is omitted like you mentioned, the details contradict with each other. If each shelf contains 8 books,last shelf also must contain 8 books and can't contain 11 books.
The "but one" indicates that each shelf except the last shelf has 8 books and the last shelf has 11 books.
Here is how we can solve the problem.

Let x be the number of shelves.
No of books in the beginning =12*x
After taking out 21 books No of remaining books = 12x -21
when the remaining books are rearranged, each shelf except the last shelf has 8 books and the last shelf has 11 books. So No of remaining books is also equal to 8*(x-1)+11

12x-21=8(x-1)+11
4x=24
_________________

___________________________________
Please give me kudos if you like my post

Intern
Joined: 09 Dec 2008
Posts: 28
Location: Vietnam
Schools: Somewhere
Followers: 0

Kudos [?]: 62 [0], given: 2

Re: Each shelf of a bookcase contained 12 books. If the librarian took out [#permalink]

### Show Tags

04 Aug 2010, 20:41
crack700 wrote:
dungtd wrote:
Each shelf of a bookcase contained 12 books. If the librarian took out 21 books and rearranged the remaining books so that all shelves but one contained 8 books and the last shelf contained 11 books, how many shelves does the bookcase have?

(C) 2008 GMAT Club - m09#13

* 5
* 6
* 7
* 8
* 9

Gmatclub manager,
Should the question be "the librarian took out 21 books and rearranged the remaining books so that each shelf contained 8 books and the last shelf contained 11 books"?

Thanks !
.

The wording in the question is correct . If the "but one" is omitted like you mentioned, the details contradict with each other. If each shelf contains 8 books,last shelf also must contain 8 books and can't contain 11 books.
The "but one" indicates that each shelf except the last shelf has 8 books and the last shelf has 11 books.
Here is how we can solve the problem.

Let x be the number of shelves.
No of books in the beginning =12*x
After taking out 21 books No of remaining books = 12x -21
when the remaining books are rearranged, each shelf except the last shelf has 8 books and the last shelf has 11 books. So No of remaining books is also equal to 8*(x-1)+11

12x-21=8(x-1)+11
4x=24

Thanks for your explanation!
Manager
Joined: 27 Jun 2008
Posts: 85
Location: United States (AL)
Concentration: General Management, Technology
GMAT 1: 660 Q48 V34
WE: Consulting (Computer Software)
Followers: 1

Kudos [?]: 15 [0], given: 22

Re: Each shelf of a bookcase contained 12 books. If the librarian took out [#permalink]

### Show Tags

04 Aug 2010, 22:09
B for me as well,, nice explanation crack700
Re: Each shelf of a bookcase contained 12 books. If the librarian took out   [#permalink] 04 Aug 2010, 22:09
Similar topics Replies Last post
Similar
Topics:
2 A librarian has a set of ten books, including four different books abo 1 20 Jan 2015, 10:46
4 Each shelf of a bookcase contained 12 books. If the librarian took out 6 24 Sep 2014, 19:01
21 Each book on a certain shelf is labeled by a single category 12 09 Feb 2014, 00:44
11 Joan took out a mortgage from hel local bank. Each monthly 14 20 Apr 2012, 23:54
17 If a librarian randomly removes science books from a library 9 08 May 2010, 08:54
Display posts from previous: Sort by

# Each shelf of a bookcase contained 12 books. If the librarian took out

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.